The Hollywood Reporter lists several names up for parts in the new Terminator movie, including three young actresses vying for the role of young Sarah Connor: Emilia Clarke of Game of Thrones, Brie Larson of Short Term 12, and Margot Robbie of The Wolf of Wall Street.

The search is also on for actors to play John Connor, future leader of the human resistance against the man-hunting Terminators, and Kyle Reese, the soldier who eventually travels back in time to father John with Sarah. Taylor’s top pick for John is reportedly Tom Hardy of The Dark Knight Rises, although THR quickly points out that “not even a meeting has taken place” between the actor and filmmaker. Meanwhile, Tron: Legacy star Garrett Hedlund is said to be on the short list for Reese.

For now, the only confirmed casting is Arnold Schwarzenegger, who “will be back as a Terminator robot in a time-spanning story that sees him tasked to protect Sarah Connor as she grows up.” The film hits theaters on July 1, 2015.